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Finding the Third Proportional to 214,574 and 291,420

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Solution

The third proportional to 214,574 and 291,420 is: 395,787.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,574 : 291,420 = 291,420 : x
  2. Step 2: Convert to fraction form
    214,574/291,420 = 291,420/x
  3. Step 3: Cross multiply
    214,574x = 291,420 × 291,420
  4. Step 4: Simplify right side
    214,574x = 84,925,616,400
  5. Step 5: Solve for x
    x = 84,925,616,400/214,574
  6. Step 6: Final answer
    x = 395,787.08

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.